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Finding the Fourth Proportional to 8,549,714,609.40, 12,824,571,914.10 and 8,549,714,609.40

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Solution

The fourth proportional to 8,549,714,609.40, 12,824,571,914.10 and 8,549,714,609.40 is: 12,824,571,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549,714,609.40 : 12,824,571,914.10 = 8,549,714,609.40 : x
  2. Step 2: Convert to fraction form
    8,549,714,609.40/12,824,571,914.10 = 8,549,714,609.40/x
  3. Step 3: Cross multiply
    8,549,714,609.40x = 12,824,571,914.10 × 8,549,714,609.40
  4. Step 4: Simplify right side
    8,549,714,609.40x = 109,646,429,853,281,697,792
  5. Step 5: Solve for x
    x = 109,646,429,853,281,697,792/8,549,714,609.40
  6. Step 6: Final answer
    x = 12,824,571,914.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.